Previous Problem Problem List Next Problem 2.4 Derivative as a function: Problem 1 (1 point) The function f(z) = -2x3+ 6x2 +901 +8 is increasing on the interval (). It is decreasing on the interval ( -co, ) and the interval ( 0. ). The function has a local maximum at Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email Instructor2.4 Derivative as a function: Problem 6 (1 point) Determine the intervals on which f is increasing or decreasing, assuming the figure below is the graph of the derivative of f. On Interval 1: f is ? On Interval 2: f is ? On Interval 3: f v ? Increasing Decreasing Note: You can earn partic lem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email Instructor O SEP 29 tv: 23_Fa205_ST : 2,4_Derivative_as_a_function : 7 M Your one-time code . elizaakrambascom Previous Problem Problem List Next Problem 2.4 Derivative as a function: Problem 7 (1 point) Let f(x) = x - 7x2+ 6x + 4. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at r Notes: In the first two, your answer should either be a single interval, such as (0, 1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none" In the last one, your answer should be a comma separated list of x values or the word "none". Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email InstructorG OH C webwork.ccny.cuny.edu/webwork2/23_Fa205_ST/2.4_Derivative_as_a_ C Fall Term (1) Elements of Calculus MATH.. WeBWork : 23_Fa205_ST : 2.4_Derivative_as_a_function : 8 Mi Your one-time code - elizaakram989 Previous Problem Problem List Next Problem I point Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. (A) For what values of a in (0,8) is f(x) increasing? Answer: Note: use interval notation to report your answer. Click on the link for details, but you can enter a single interval, a union of intervals, and if the function is never increasing, you can enter the empty set as { }. (B) Find all values of x in (0,8) is where f (x) has a local minimum, and list them (separated by commas) in the box below. If there are no local minima, enter None. Local Minima: Note: You can earn partial credit on this problem. Preview My Answers Submit AnswersTerm (1) Elements of Calculus MATH... WeBWork : 23_Fa205_ST : 2.4_Derivative_as_a_function : 9 M Your one-time code - elizaakram989@gmail.com Previous Problem Problem List Next Problem Entered Answer Preview Result (0,1) U (4,5) U (6,8) (0, 1) U (4, 5) U (6, 8) incorrect 1, 4, 5, 6 1, 4, 5, 6 correct At least one of the answers above is NOT correct. Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. Refer to the graph to answer each of the following questions. For part (A), use interval notation to report your answer. (If needed, you use U for the union symbol.) (A) For what values of a in (0,8) is f(x) concave down? (If the function is not concave down anywhere, enter "{}" without the quotation marks.) Answer: (0,1) U ( 4,5) U (6,8) (B) Find all values of a in (0,8) is where f(x) has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points, enter -1000.) Inflection Points: 1,4,5,6 Note: You can earn partial credit on this problem.one-time code - elizaakram9 Previous Problem Problem List Next Problem SIT DCHValve as a Tunlouon: ITOPICIn TO (1 point) The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = t* - 162t2 + 6561, t 20 If appropriate, enter answers in radical form. Use inf to represent co. (a) Find the velocity and acceleration functions. u(t) : a (t) : (b) Find the position, velocity, speed, and acceleration at t = 7. Position (ft): Velocity (ft/sec): Speed (ft/sec): Acceleration (ft/sec-): (c) At what times is the particle stopped? Enter as a comma-separated list. (d) When is the particle speeding up? Slowing down? Enter using interval notation. Speeding up: Slowing down:clivalve as d function: Problem 11 (1 point) Let f ( a ) = Ja2- 5x 3x I > 8 (a) Is f continuous at x = V ? (b) Is f differentiable at x Yes No (c) If f is differentiable at $ - u omer the value of f'(8). If f is NOT differentiable at a = 8 enter the value of f (8) instead. f'(8) or f(8) = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email Instructor Page generated at 09/29/2023 at 11:18am EDT GEP 4 29 "tvPrevious Problem Problem List Next Problem 2.4 Derivative as a function: Problem 12 (1 point) Let f(x) = |x - 7|. Evaluate the following limits. lim f(I) - f(7) x - 7 lim f(I) - f(7) I-+ 7+ I - 7 Thus the function f(x) is not differentiable at 7. Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 0%. You have unlimited attempts remaining. Email Instructor "tv J . ST O 29